Finite- Time Adaptive Synchronization of Drive-Response Two-Layer Networks
Jie Chang Wu, Xiang Li · 2018
In this paper, we address the problem of finite-time adaptive synchronization of two-layer networks, and take the effect of stochastic perturbation into consideration. By adopting the integrated control protocols including a finite-time controller and an adaptive controller, sufficient conditions for realizing synchronization of two-layer networks with identical and nonidentical topologies are derived based on the finite-time stability theory of (stochastic) differential equations. Besides, a wide range of finite-time adaptive synchronization in multilayer networks can be achieved under the proposed strategies. Finally, the classical Chen system and Lorenz system are taken as the examples of node dynamics to illustrate the effectiveness and feasibility of the theoretical results.